71408832768000
71,408,832,768,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 71408832768000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5760 divisors.
71408832768000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 71408832768000:
211 × 34 × 53 × 7 × 132 × 41 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 41 × 71)See below for interesting mathematical facts about the number 71408832768000 from the Numbermatics database.
Names of 71408832768000
- Cardinal: 71408832768000 can be written as Seventy-one trillion, four hundred eight billion, eight hundred thirty-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 7.1408832768 × 1013
Factors of 71408832768000
Divisors of 71408832768000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 41 42 45 48 50 52 54 56 60 63 64 65 70 71 72 75 78 80 81 82 84 90 91 96 100 104 105 108 112 117 120 123 125 126 128 130 135 140 142 144 150 156 160 162 164 168 169 175 180 182 189 192 195 200 205 208 210 213 216 224 225 234 240 246 250 252 256 260 270 273 280 284 287 288 300 312 315 320 324 325 328 336 338 350 351 355 360 364 369 375 378 384 390 400 405 410 416 420 426 432 448 450 455 468 480 492 497 500 504 507 512 520 525 533 540 546 560 567 568 574 576 585 600 615 624 630 639 640 648 650 656 672 675 676 700 702 710 720 728 738 750 756 768 780 800 810 819 820 832 840 845 852 861 864 875 896 900 910 923 936 945 960 975 984 994 1000 1008 1014 1024 1025 1040 1050 1053 1065 1066 1080 1092 1107 1120 1125 1134 1136 1148 1152 1170 1183 1200 1230 1248 1260 1278 1280 1296 1300 1312 1344 1350 1352 1365 1400 1404 1420 1435 1440 1456 1476 1491 1500 1512 1521 1536 1560 1575 1599 1600 1620 1625 1638 1640 1664 1680 1690 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1005758208000 1020126182400 1098597427200 1115763012000 1133473536000 1190147212800 1275157728000 1322385792000 1373246784000 1428176655360 1487684016000 1586862950400 1700210304000 1741678848000 1785220819200 1830995712000 1983578688000 2040252364800 2231526024000 2380294425600 2550315456000 2644771584000 2746493568000 2856353310720 2975368032000 3400420608000 3570441638400 3967157376000 4463052048000 4760588851200 5100630912000 5492987136000 5950736064000 7140883276800 7934314752000 8926104096000 10201261824000 11901472128000 14281766553600 17852208192000 23802944256000 35704416384000 71408832768000
- Sum of all divisors σ(n): 342205305361920
- Sum of proper divisors (its aliquot sum) s(n): 270796472593920
- 71408832768000 is an abundant number, because the sum of its proper divisors (270796472593920) is greater than itself. Its abundance is 199387639825920
Bases of 71408832768000
- Binary: 100000011110010001010100001110001101000000000002
- Hexadecimal: 0x40F22A1C6800
- Base-36: PB8RJB400
Squares and roots of 71408832768000
- 71408832768000 squared (714088327680002) is 5099221397288190541824000000
- 71408832768000 cubed (714088327680003) is 364129448005959687102429325688832000000000
-
The
square root of 71408832768000 is 8450374.7116917841 -
The
cube root of 71408832768000 is 41487.5043945423
Scales and comparisons
How big is 71408832768000?- 71,408,832,768,000 seconds is equal to 2,270,580 years.
-
To count from 1 to 71,408,832,768,000 would take you about five million, six hundred seventy-six thousand, four hundred fifty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 71408832768000 cubic inches would be around 3457.3 feet tall.
Recreational maths with 71408832768000
- 71408832768000 backwards is 00086723880417
- 71408832768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 71408832768000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 71408832768000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 71408832768000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/71408832768000/
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The information we have on file for 71408832768000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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